 | 1867 - 964 σελίδες
...acute angles. OüTUSE-ütOLSD, Having one obtuse angle, and, of necessity, twoacuteangles. Now, as the three interior angles of a triangle are together equal to two right angles or 180 degrees, and as an obtuse angle is any angle greater than a right angle or 90 degrees, while... | |
 | Sir John Leslie - 1809 - 542 σελίδες
...XXXIV. THEOR. An exterior angle of a triangle is equal to both its opposite interior angles, and all the interior angles of a triangle are together equal to two right angles. The exterior angle BCD, formed by the production of the side AC of the triangle ABC, is equal to the... | |
 | Edward Riddle - 1824 - 572 σελίδες
...the arc which measures the angle А С В, will be equal to the radius of the circle. For as all the interior angles of a triangle are, together, equal to two right angles, (Theo. 24.) if А С В be the third part of two right angles, the remaining angles A and B will, together,... | |
 | 1831 - 532 σελίδες
...same reasoning will clearly apply to every triangle of which one side (AD) is produced. Cor. 2. — The three interior angles of a triangle are together equal to two right angles. This follows, as in Euclid's 32nd. If, however, it be said that it is premature to state that the angles... | |
 | John Charles Snowball - 1837 - 322 σελίδες
...of the same kind, and consequently no ratio could exist between them. 71. Since (Euclid i. 32), the interior angles of a triangle are together equal to two right angles, we have A + B+C=180°. sin A a Also ; -r— = - , sin В о sin B b sin C с And if three of the parts... | |
 | Chambers W. and R., ltd - 1842 - 744 σελίδες
...one of the most remarkable propositions in the whole book, namely, the 32d, in which it is shown that the three interior angles of a triangle are together equal to two right angles. This important fact has already been examined, and therefore we have only to add that it was discovered... | |
 | Samuel Bailey - 1851 - 254 σελίδες
...THEOREM. An exterior angle of a triangle is equal to both its opposite interior angles, and all the interior angles of a triangle are together equal to two right angles. The exterior angle BCD formed by the production of the side AC of the triangle ABC, is equal to the... | |
 | James Maurice Wilson - 1868 - 132 σελίδες
...than two right angles, or the lines PQ, QR would not meet. This follows also from the theorem that the three interior angles of a triangle are together equal to two right angles. PROBLEM 7. Having given two angles and a side opposite to one of them, to construct the triangle. V... | |
 | Henry Raper - 1870 - 968 σελίδες
...Hence ACE and EC D are together equal to BAC and ABC; that is, ACD, which is made up of ACE and EC D, is equal to BAC and AB C. 127. PROP. The three interior...above proposition, ACD is equal to the sum of ABC and BAC. Add to each ACB; then ACD and ACB are equal to the three angles ABC, BAC, and ACB, (No. 112).... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles; and the three interior angles of a triangle are together equal to two right angles. For the construction employed in this proposition we must be able to draw through a given point a right... | |
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... the three interior angles of' a triangle are together equal to two right angles. 
